Interpolatory product quadratures for Cauchy principal value integrals with Freud weights
- We prove convergence results and error estimates for interpolatory product quadrature formulas for Cauchy principal value integrals on the real line with Freud–type weight functions. The formulas are based on polynomial interpolation at the zeros of orthogonal polynomials associated with the weight function under consideration. As a by–product, we obtain new bounds for the derivative of the functions of the second kind for these weight functions.
Author: | Kai Diethelm |
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URN: | urn:nbn:de:bvb:863-opus-20583 |
DOI: | https://doi.org/https://doi.org/10.1007/s002110050440 |
Parent Title (English): | Numerische Mathematik |
Document Type: | Article |
Language: | English |
Year of publication: | 1999 |
Publishing Institution: | Hochschule für Angewandte Wissenschaften Würzburg-Schweinfurt |
Release Date: | 2022/07/20 |
Volume: | 83 |
First Page: | 87 |
Last Page: | 105 |
Comments: | Accepted version des Artikels. Published source: Damelin, S., Diethelm, K. Interpolatory product quadratures for Cauchy principal value integrals with Freud weights. Numer. Math. 83, 87–105 (1999). https://doi.org/10.1007/s002110050440 |
Open access colour: | Grün (Zweitveröffentlichung) |